Writing Equations
Isolating Variables
100

The correct equation to represent the following situation

Ms. Erica is selling chocolate chip cookies for 1$ and brownies for 2. She wants to know the total she made in sales in a day. 

a)    2c - 2b = 4cb

b)    c + 2b = e
c)    e - bc = 2


What is b) 

100

An equavalent equation to the following: 

3x + 2y - 6 is....

a) 3x = -2y + 6

b) 5xy = - 6 

What is a) 

200

This equation will describe this mathematical truth: 

In a solid shape, if you add the number of vertices, V, and the number of faces, F, then subtract 2, you get the number of edges in the shape, E. 

V + F - 2 = E
200

Isolate the variable x in this equation. 


10x - 3y + 10 = 10 
 x = 3y/10 
300
An uber ride costs $10.30 as a base rate, plus $3.03 per mile, m. Write an equation to represent how much the total cost would be, t. 

10.30 + 3.03m = t 

300

Isolate the variable y in the following equation: 

10 - 5y = 50x 

y = - (5x - 10)/5

400

 

The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year.                 

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. The average starting salary of a worker in the department is $36,000 a year. 

                                                                                Write an equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it spends the entire budget.              

8,400m + 3,600w = 1,962,800

400

Isolate the variable y in the following equation: 


1.8x = 6y + 10 - 2y 


y = (1.8x-10)/4

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